Canonical Lipschitz structures on compact Hilbert cube manifolds

Jouni Luukkainen

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 4, page 661-664
  • ISSN: 0010-2628

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Luukkainen, Jouni. "Canonical Lipschitz structures on compact Hilbert cube manifolds." Commentationes Mathematicae Universitatis Carolinae 026.4 (1985): 661-664. <http://eudml.org/doc/17416>.

@article{Luukkainen1985,
author = {Luukkainen, Jouni},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Hilbert cube manifold; Lipschitz manifold; Lipschitz homogeneous metrics on the Hilbert cube; Q-manifold; Lipschitz homeomorphism},
language = {eng},
number = {4},
pages = {661-664},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Canonical Lipschitz structures on compact Hilbert cube manifolds},
url = {http://eudml.org/doc/17416},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Luukkainen, Jouni
TI - Canonical Lipschitz structures on compact Hilbert cube manifolds
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 4
SP - 661
EP - 664
LA - eng
KW - Hilbert cube manifold; Lipschitz manifold; Lipschitz homogeneous metrics on the Hilbert cube; Q-manifold; Lipschitz homeomorphism
UR - http://eudml.org/doc/17416
ER -

References

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  2. CHAPMAN T. A., Lectures on Hilbert cube manifolds, CBMS Regional Conference Series in Mathematics 28, American Mathematical Society, Providence, Rhode Island, 1976. (1976) Zbl0347.57005MR0423357
  3. GREENBERG M. J., Lectures on algebraic topology, W. A. Benjamin, Inc., New York - Amsterdam, 1967. (1967) Zbl0169.54403MR0215295
  4. HOHTI A., On Lipschitz homogeneity of the Hilbert cube, Trans. Amer. Math. Soc. (to appear). Zbl0574.54025MR0797046
  5. HOHTI A., Lipschitz manifolds from Q-manifolds, manuscript. 
  6. KIRBY R. C L. C. SIEBENMANN, Foundational essays on topological manifolds, smoothings, and triangulations, Annals of Mathematics Studies 88, Princeton University Press and University of Tokyo Press, Princeton, New Jersey, 1977. (1977) MR0645390
  7. LUUKKAINEN J. J. VAISALA, Elements of Lipschitz topology, Ann. Acad. Sci. Fenn. Ser. A I Math. 3 (1977), 85-122. (1977) MR0515647
  8. McSHANE E. J., Extension of range of functions, Bull. Amer. Math. Soc. 40 (1934), 837-842. (1934) Zbl0010.34606MR1562984
  9. MOISE E. E., Geometric topology in dimensions 2 and 3, Springer-Verlag, New York - Heidelberg - Berlin, 1-977. Zbl0349.57001MR0488059
  10. ROURKE C. P. B. J. SANDERSON, Introduction to piecewise-linear topology, Springer-Verlag, Berlin - Heidelberg - New York, 1972. (1972) MR0350744
  11. TUKIA P. J. VÄISÄLÄ, Lipschitz and quasiconformal approximation and extension, Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), 303-342. (1981) MR0658932
  12. VÄISÄLÄ J., Lipschitz homeomorphisms of the Hilbert cube, Topology Appl. 11 (1980), 103-110. (1980) MR0550877
  13. WHITEHEAD J. H. C, Simplicial spaces, nuclei and m-groups, Proc. London Math. Soc. (2) 45 (1939), 243-327. (1939) Zbl0022.40702

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